{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "turkish-playback",
   "metadata": {},
   "source": [
    "# Computing the partial autocorrelation function (PACF)\n",
    "\n",
    "[Feature Engineering for Time Series Forecasting](https://www.trainindata.com/p/feature-engineering-for-forecasting)\n",
    "\n",
    "In this notebook we show how we can compute the PACF and PACF plots."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "intended-driver",
   "metadata": {},
   "source": [
    "We will work with a monthly retail sales dataset (found [here](https://raw.githubusercontent.com/facebook/prophet/master/examples/example_retail_sales.csv)).\n",
    "\n",
    "For instructions on how to download, prepare, and store the dataset, refer to notebook number 1, in the folder \"01-Datasets\" from this repo.\n",
    "\n",
    "## Data Set Synopsis\n",
    "\n",
    "The timeseries is collected between January 1992 and May 2016.\n",
    "\n",
    "It consists of a single series of monthly values representing sales volumes. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "asian-cloud",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n",
    "from statsmodels.nonparametric.smoothers_lowess import lowess\n",
    "from statsmodels.tsa.stattools import pacf\n",
    "from statsmodels.tsa.seasonal import STL\n",
    "\n",
    "sns.set_context(\"talk\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "adjusted-occurrence",
   "metadata": {},
   "source": [
    "# Computing the PACF for a white noise timeseries"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "classified-favor",
   "metadata": {},
   "source": [
    "Let's compute the PACF on a time series of white noise where each observation is generated by random from a normal distribution so there is no predictive information in any historic point:"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "opened-perfume",
   "metadata": {},
   "source": [
    "$$y_t = noise_t$$ where $$noise_{t}  \\sim  N(mean, std)$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "novel-deposit",
   "metadata": {},
   "source": [
    "We expect the autocorrelation to be small at all lags as each data point is completely independent of each other."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "improving-burden",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2000-01-01</th>\n",
       "      <td>1.764052</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-02</th>\n",
       "      <td>0.400157</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-03</th>\n",
       "      <td>0.978738</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-04</th>\n",
       "      <td>2.240893</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-05</th>\n",
       "      <td>1.867558</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                   y\n",
       "2000-01-01  1.764052\n",
       "2000-01-02  0.400157\n",
       "2000-01-03  0.978738\n",
       "2000-01-04  2.240893\n",
       "2000-01-05  1.867558"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "num_timesteps = 300  # Length of time series we want\n",
    "np.random.seed(0)  # Ensures we generate the same random numbers every time\n",
    "\n",
    "y = np.random.normal(loc=0, scale=1, size=num_timesteps)\n",
    "ts = pd.date_range(start=\"2000-01-01\", periods=num_timesteps, freq=\"D\")\n",
    "\n",
    "df = pd.DataFrame(data={\"y\": y}, index=ts)\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "temporal-commissioner",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the time series\n",
    "ax = df.plot(figsize=[10, 5])\n",
    "ax.set_title(\"white noise\")\n",
    "ax.set_ylabel(\"y\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "integrated-plasma",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=[10, 5])\n",
    "plot_pacf(\n",
    "    x=df[\"y\"],\n",
    "    method=\"ywmle\",\n",
    "    lags=50,\n",
    "    ax=ax,\n",
    "    alpha=0.05,\n",
    "    auto_ylims=True\n",
    "\n",
    ");\n",
    "ax.set_title(\"Parial autocorrelation of white noise\")\n",
    "ax.set_ylabel(\"Partial autcorrelation\")\n",
    "ax.set_xlabel(\"Lag\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "judicial-directive",
   "metadata": {},
   "source": [
    " - The partial autocorrelation is one at lag 0 as expected.\n",
    " - The partial autocorrelation at all other lags are not significant. As expected from white noise.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dense-lounge",
   "metadata": {},
   "source": [
    "We saw clearly that there is no correlation in the lag plots shown in notebook 3 on the ACF."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "further-picnic",
   "metadata": {},
   "source": [
    "Now let's look at some timeseries with more structure and see what the PACF looks like."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "clinical-graph",
   "metadata": {},
   "source": [
    "# AR(1) process - a time series determined by lag 1 "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6af9f861-3486-45e5-bbc0-981e1780ecab",
   "metadata": {},
   "source": [
    "Let's look at the PACF of an AR(1) process. As a reminder an AR(1) process is defined as:"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "protective-yugoslavia",
   "metadata": {},
   "source": [
    "$$y_t = \\phi y_{{t-1}} + noise_t$$ where $$noise_{t}  \\sim  N(mean=0, std=1)$$ $$|\\phi| < 1 $$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "41ae5a7c-f651-413d-9453-8e681458d7fa",
   "metadata": {},
   "source": [
    "Now let's generate an example of a timeseries from an AR1 process."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "stuffed-subscription",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Initial parameters\n",
    "num_timesteps = 1000  # Length of time series we want\n",
    "np.random.seed(0)  # Ensures we generate the same random numbers every time\n",
    "phi = 0.9\n",
    "ts = pd.date_range(start=\"2000-01-01\", periods=num_timesteps, freq=\"D\")\n",
    "\n",
    "# Generate time series\n",
    "y = np.zeros(num_timesteps)\n",
    "for t in range(1, num_timesteps):\n",
    "    noise = np.random.normal()\n",
    "    y[t] = phi * y[t - 1] + noise\n",
    "\n",
    "df = pd.DataFrame(data={\"y\": y}, index=ts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "clinical-scottish",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the time series\n",
    "ax = df.plot(figsize=[10, 5])\n",
    "ax.set_title(\"AR1 process\")\n",
    "ax.set_ylabel(\"y\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4293222e-40cc-48e8-bcf4-1fc29281aa79",
   "metadata": {},
   "source": [
    "Let's plot the ACF and PACF now."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "american-literacy",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=[10, 5])\n",
    "plot_acf(\n",
    "    x=df,\n",
    "    lags=36,\n",
    "    ax=ax,\n",
    "    alpha=0.05,\n",
    "    auto_ylims=True\n",
    "\n",
    ")\n",
    "ax.set_title(\"Autocorrelation of AR(1) process\")\n",
    "ax.set_ylabel(\"Autocorrelation\")\n",
    "ax.set_xlabel(\"Lag\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "distinct-looking",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=[10, 5])\n",
    "plot_pacf(\n",
    "    x=df,\n",
    "    lags=36,\n",
    "    ax=ax,\n",
    "    alpha=0.05,\n",
    "    method='ywmle', # Recommended method in Statsmodels notes\n",
    "    auto_ylims=True\n",
    ")\n",
    "ax.set_title(\"Partial autocorrelation of AR(1) process\")\n",
    "ax.set_ylabel(\"Partial autocorrelation\")\n",
    "ax.set_xlabel(\"Lag\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "minute-gossip",
   "metadata": {},
   "source": [
    "The PACF is large for k = 1 and not significant for k > 2 as we wanted! Hence, the PACF can identify in this case that lag 1 is important.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "proprietary-trunk",
   "metadata": {},
   "source": [
    "# AR(2) process - a time series determined by lag 1 and lag 2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "radio-fiction",
   "metadata": {},
   "source": [
    "Let's create a toy time series which combines a lag of 1 and a lag of 2."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "future-evidence",
   "metadata": {},
   "source": [
    "$$y_t = \\phi_1 y_{{t-1}} + \\phi_2 y_{{t-2}} + noise_t$$ where $$noise_{t}  \\sim  N(mean=0, std=1)$$\n",
    "\n",
    "For the AR(1) process to be stationary (i.e., the mean and variance don't change over time) we required $|\\phi|<1$. To ensure that an AR(2) process remains stationary it can be shown the following constraints on $\\phi_{1}$ and $\\phi_{2}$ are required [1]: \n",
    "\n",
    "$$\\phi_1 + \\phi_2<1$$\n",
    "$$-\\phi_1 + \\phi_2<1$$\n",
    "$$\\phi_2 > -1$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e7f6175f-3daf-48c5-8f8a-917082732d02",
   "metadata": {},
   "source": [
    "[1] Page 60, George, E. P. \"Box. Time series analysis: forecasting and control.\" (1970). "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "09051418-d65c-4ebf-a247-2a9d6b52bbd0",
   "metadata": {},
   "source": [
    "Now let's generate an example of a timeseries from an AR2 process."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "dominican-vanilla",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Initial parameters\n",
    "num_timesteps = 1000  # Length of time series we want\n",
    "np.random.seed(0)  # Ensures we generate the same random numbers every time\n",
    "phi_1 = 0.7\n",
    "phi_2 = 0.2\n",
    "ts = pd.date_range(start=\"2000-01-01\", periods=num_timesteps, freq=\"D\")\n",
    "\n",
    "# Generate time series\n",
    "y = np.zeros(num_timesteps)\n",
    "for t in range(2, num_timesteps):\n",
    "    noise = np.random.normal()\n",
    "    y[t] = phi_1 * y[t - 1] + phi_2 * y[t - 2] + noise\n",
    "\n",
    "df = pd.DataFrame(data={\"y\": y}, index=ts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "polyphonic-sword",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the time series\n",
    "ax = df.plot(figsize=[10, 5])\n",
    "ax.set_title(\"AR(2) process\")\n",
    "ax.set_ylabel(\"y\")\n",
    "ax.set_xlabel(\"Time\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a06d626d-68fe-484a-89db-16779447613f",
   "metadata": {},
   "source": [
    "Now let's plot the ACF and PACF for the timesere we generated from the AR(2) process."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "cardiovascular-pantyhose",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=[10, 5])\n",
    "plot_acf(\n",
    "    x=df,\n",
    "    lags=36,\n",
    "    ax=ax,\n",
    "    alpha=0.05,\n",
    "    auto_ylims=True\n",
    ")\n",
    "ax.set_title(\"Autocorrelation of AR(2) process\")\n",
    "ax.set_ylabel(\"Autocorrelation\")\n",
    "ax.set_xlabel(\"Lag\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "parliamentary-lebanon",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=[10, 5])\n",
    "plot_pacf(\n",
    "    x=df,\n",
    "    lags=36,\n",
    "    ax=ax,\n",
    "    alpha=0.05,\n",
    "    auto_ylims=True,\n",
    "    method='ywmle', # Recommended method in Statsmodels notes\n",
    "\n",
    ")\n",
    "ax.set_title(\"Partial autocorrelation of AR(2) process\")\n",
    "ax.set_ylabel(\"Partial autocorrelation\")\n",
    "ax.set_xlabel(\"Lag\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "composite-gallery",
   "metadata": {},
   "source": [
    "- The PACF has significant lags at k=1 and k=2 is zero for k>0 as we wanted! \n",
    "- The PACF is larger for k=1 than k=2 because $|\\phi_1|$ > $|\\phi_2|$.\n",
    "- This shows that the PACF can identify useful lags in this scenario.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8cdbafca-5370-4ef7-8c9d-e36bb3991dca",
   "metadata": {},
   "source": [
    "Now let's move onto a time series with trend and seasonality."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "regulated-desire",
   "metadata": {},
   "source": [
    "# Time series with trend and seasonality"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "opposed-thirty",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load retail sales dataset with the artificially added outliers\n",
    "df = pd.read_csv(\n",
    "    \"../Datasets/example_retail_sales.csv\",\n",
    "    parse_dates=[\"ds\"],\n",
    "    index_col=[\"ds\"],\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "delayed-domain",
   "metadata": {},
   "source": [
    "Let's plot the time series"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "valued-lawyer",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = df.plot(y=\"y\", marker=\".\", figsize=[10, 5])\n",
    "ax.set_title(\"Retail sales\")\n",
    "ax.set_ylabel(\"Sales\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "transparent-capitol",
   "metadata": {},
   "source": [
    "Let's plot the ACF and PACF."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "effective-vanilla",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=[10, 5])\n",
    "plot_acf(\n",
    "    x=df[\"y\"],\n",
    "    lags=36,\n",
    "    ax=ax,\n",
    "    alpha=0.05,\n",
    "    auto_ylims=True\n",
    ")\n",
    "ax.set_title(\"Autocorrelation of retail sales\")\n",
    "ax.set_ylabel(\"Autcorrelation\")\n",
    "ax.set_xlabel(\"Lag\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "unique-binary",
   "metadata": {},
   "source": [
    " - The autocorrelation is one at lag 0 as expected.\n",
    " - The autocorrelation decays slowly due to the strong trend.\n",
    " - There are peaks at multiples of the seasonal lag of 12 due to the seasonality."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "amino-foundation",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=[10, 5])\n",
    "plot_pacf(\n",
    "    x=df[\"y\"],\n",
    "    method='ywmle', # Recommended method in Statsmodels notes\n",
    "    lags=36,\n",
    "    ax=ax,\n",
    "    alpha=0.05,\n",
    "    auto_ylims=True\n",
    ")\n",
    "ax.set_title(\"Partial autocorrelation of retail sales\")\n",
    "ax.set_ylabel(\"Partial autcorrelation\")\n",
    "ax.set_xlabel(\"Lag\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "plain-glass",
   "metadata": {},
   "source": [
    "- The PACF assumes the time series is stationary. \n",
    "- This time series is clearly not stationary. The trend means that the mean changes in time. \n",
    "- Despite that you still see can still see a strong peak at k=12 and the smaller lags."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "wanted-redhead",
   "metadata": {},
   "source": [
    "Let's remove the trend and re-examine the PACF."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "processed-sailing",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='ds'>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Compute the trend with LOWESS\n",
    "frac = 0.1\n",
    "y = df[\"y\"]\n",
    "x = np.arange(0, len(y))\n",
    "res = lowess(endog=y, exog=x, frac=frac)\n",
    "df[\"lowess\"] = res[:, 1]\n",
    "\n",
    "df[\"y_detrend\"] = df[\"y\"] - df[\"lowess\"]\n",
    "df[\"y_detrend\"].plot(figsize=(10, 5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "southeast-position",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=[10, 5])\n",
    "plot_acf(\n",
    "    x=df[\"y_detrend\"],\n",
    "    lags=36,\n",
    "    ax=ax,\n",
    "    alpha=0.05,\n",
    "    auto_ylims=True\n",
    ")\n",
    "ax.set_xlabel(\"lag\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "widespread-anniversary",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=[10, 5])\n",
    "plot_pacf(\n",
    "    x=df[\"y_detrend\"],\n",
    "    method='ywmle', # Recommended method in Statsmodels notes\n",
    "    lags=36,\n",
    "    ax=ax,\n",
    "    alpha=0.05,\n",
    "    auto_ylims=True\n",
    ")\n",
    "ax.set_xlabel(\"lag\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "straight-pattern",
   "metadata": {},
   "source": [
    "The PACF shows a strong lag at 12 but not at multiples of 12 afterwards. This means that most of the predictive information from the seasonal lag is captured at lag 12 as expected!\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "present-motivation",
   "metadata": {},
   "source": [
    "In summary this would suggest that we could create features using a lag of 12 (from the seasonality) and low lags like 1, 2, 3, and 4. The other larger lags such as lag 10, 11, or 13 are more difficult to intrepret. One reason for not including them is that you do not see peaks at multiples of 10, 11, or 13 in the ACF. Also from domain knowledge (this is retail sales) it is highly unlikely that lags beyond 12 months will be that relevant."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e4eb030b-59cd-4520-be21-bf00b377800f",
   "metadata": {},
   "source": [
    "# PACF after detrending and deseasonalising the original series"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "15e0b496-0ff8-4334-82fb-35820b642238",
   "metadata": {},
   "source": [
    "Now that we know the period of any seasonality we can remove the impact of the trend and seasonal components on the ACF to help identify useful lags. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f3f5ee95-c30f-43c2-9ac1-84579672e382",
   "metadata": {},
   "source": [
    "The retail sales example has one seasonality with period 12 so let's use STL. If the time series has multiple seasonal periods (e.g., daily and weekly) then use MSTL to help detrend and deseasonalise the time series. We will show an example with multiple seasonalities in notebook 8 of this section."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "808b6322-3c99-48c1-b087-4f06771546a4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Break the timeseries into trend, seasonality, and residual components\n",
    "res = STL(df[\"y\"]).fit()\n",
    "\n",
    "# Plot the full decomposition\n",
    "plt.rc(\"figure\", figsize=(10, 10))\n",
    "plt.rc(\"font\", size=5)\n",
    "res.plot();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "1baed581-275c-4ca9-b23b-8276feeb4e40",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=[10, 5])\n",
    "plot_pacf(\n",
    "    x=res.resid,\n",
    "    lags=36,\n",
    "    method='ywmle', # Recommended method in Statsmodels notes\n",
    "    ax=ax,\n",
    "    alpha=0.05,\n",
    "    auto_ylims=True\n",
    ")\n",
    "ax.set_title(\"Partial autocorrelation of residual\")\n",
    "ax.set_ylabel(\"Partial autcorrelation\")\n",
    "ax.set_xlabel(\"Lag\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5212b6b6-588b-42b6-992e-519c49bf54c8",
   "metadata": {},
   "source": [
    "We can see that there aren't any large significant lags. There appears to be some significant lags at multiples of 12 which suggests that some part of the seasonal component is still in the residuals and was not perfectly extracted by STL. Practically speaking from looking at this plot there wouldn't be an additional lag beyond 1 or 2 that we would want to add for feature engineering purposes."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d2b5e494-81a1-4d3e-91f5-7aafe1df10f7",
   "metadata": {},
   "source": [
    "There we have it! We have shown how we can use the PACF for different types of time series to understand which lags could be useful as features. We will show how to use the PACF for a more challenging real world example in notebook 8."
   ]
  }
 ],
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   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
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    "version": 3
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   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.5"
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  "toc": {
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   "title_cell": "Table of Contents",
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   "toc_window_display": false
  }
 },
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